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Finding the Fourth Proportional to 1,646.34, 2,469.78 and 768.84

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Solution

The fourth proportional to 1,646.34, 2,469.78 and 768.84 is: 1,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.34 : 2,469.78 = 768.84 : x
  2. Step 2: Convert to fraction form
    1,646.34/2,469.78 = 768.84/x
  3. Step 3: Cross multiply
    1,646.34x = 2,469.78 × 768.84
  4. Step 4: Simplify right side
    1,646.34x = 1,898,865.66
  5. Step 5: Solve for x
    x = 1,898,865.66/1,646.34
  6. Step 6: Final answer
    x = 1,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.